Is it possible for an object moving with kho-e9g2l3 b pt:1m2.otlftr a constant speed to accelerate? Explain. btl23o.2e:ltf op hgk1 t-9mr

  Consider a particle moving with constant speed sr8w0n6 z4+uv l5lremv uch that its acceleration of constant l+v6rwvu4l 5r0em8z nmagnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compa d -e2evtv)0kcre the direction of the object'sv0 ke-cd2 e)vt velocity and acceleration vectors.

  When an object experiences uniform circular mobwu r2(m*sk:8oxv ,fij vl5d( tion, the direction of the accelerati2x drfsu8lvj,iko(*(5 b:mvw on is

  Consider a particle moving with constant s+nu )3qunq/ewh.r2 bmpeed such that its acceleration of constant magnitude is always perpendicular toewuq.nbm)u/ rq 3 2hn+ its velocity.

  What type of acceleration doel. th1rr:e3g cs an object moving with constant speed in a circulaltrrh 3.c1:egr path experience?

  What force is needed to 7)8avwkuihvtkvsu*.2qz0, a37ua y f make an object move in a circle?

  When an object experie j xelcn-p lm97678i5ansae)rb(km-lnces uniform circular motion, the direction of the net force a7-bam jc6n)8n -(l lxrem 7skie5lp9 is

  A roller coaster car is on a track thatn ;:xmfg)jc+j forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripetal acceler:cf+jgx;n )jmation at this point?

  A roller coaster car (mass oo5hf8 / jl8wp= M) is on a track that forms a circular loop (radius = r) in the vertical plane. If thphf8loj/8 w o5e car is to just maintain contact with the track at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive the19t- e2eakcrsn follows a semi-circular arc until it is going straight up. Juce 1tk e2rsa-9st as the plane is at its lowest point, the force on him is

  A coin of mass $m$ rests on a turntable a distance $r$ from the axis of rotation. The turntable rotates with a frequency of $f$. What is the minimum coefficient of static friction between the turntable and the coin if the coin is not to slip?

  A car goes around a curve of radius /-gd c.2xjd7s +jf xtj$r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve of radius r at a constant speed v. Then it goes aro klnc2q+r/+ vhu +jca2und the same curve at half of the original speed. What is the centripetal force on the car as it goes around the curve for the second time, compared to the first tim+2rn+uqhl/akc v cj2+ e?

  A car goes around a curve of radius r at a constant speed v. Then it iogcj eq nyl0d p/u k/1*.)3kugoes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second curved//g0npyc e. * qj iuou3l1k)k, compared to the first?

  A car of mass m goes around a banked curve of radius r with spemi76 oxgz(dh/pm)5x red v. If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal force on the car from the road is equdom g hx (zxp7rmi6/5)al in magnitude to

  Two horizontal curves on a b z b2,awafs+ix i0:vh2obsled run are banked at the same angle, but one has twice the radius of the other. The safeah 2f0v+axwi, siz2b: speed (no friction needed to stay on the run) for the smaller radius curve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic br+ofe p/y33 dc 3dw+vyobsled track is not constant, but increases upward from the horizontadyfpwd3y/v+or3c e +3l. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object movinzb:sb wh bo7fd :.t;y+g around a circular path to have both centripetawfs:;t+ .7h b bzb:oydl and tangential acceleration?

  The gravitational force be ndu :d/b;i3nrtween two objects is proportional to

  The gravitational force bel0 ys/-g9uyv(mv (x 1j divm9ptween two objects is inversely proportional to

  Two objects attract each/zzls/m4xld t ,wr-t 9 other gravitationally. If the distance between their ce- t /49wlxs zdtz/l,mrnters is cut in half, the gravitational force

  Two objects, with maj3q )ee tb3hin7zdj 3gc0m6n,sses $m_{1}$ and $m_{2}$, are originally a distance r apart. The gravitational force between them has magnitude F. The second object has its mass changed to 2$m_{2}$, and the distance is changed to r/4. What is the magnitude of the new gravitational force?

  Two objects, with massehb6ynd :kdp 39s $m_{1}$ and $m_{2}$, are originally a distance r apart. The magnitude of the gravitational force between them is F. The masses are changed to 2$m_{1}$ and 2$m_{2}$, and the distance is changed to 4r. What is the magnitude of the new gravitational force?

State Newton's law of univers;)37tmo jyg5/nuu +ywve2gtd 6d+ cboal gravitation.

  Compared to its mass on the Ewho-0d--qcyrw;j 14pgold) f-gh58c elw+ btarth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth why i+ +g osj1zxu:x(t0dat it is on Earth. An objux j(siyd0tgox: ++ 1zect of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's sur1wycv l0w a:1pface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is xu/,mbz xk5ea0 6 jrpjx:3,vqit beyond the pull of Earth'ska uj/pmvxb,53xxr 6:, ez0 qj gravity?

  Suppose a satellite were o5jgn ubx;t.r/rbiting the Earth just above the surface. What is its centripetal accelera; n5/jrxb. utgtion?

  A hypothetical planet has a mass of half that of the Earth and a radip8 d-okdbf 4b5us of twice that of the Earth. What is the accelf- b dkbop458deration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on E xh36 yc3.qdenarth. The radiu6qdnhcex33y . s of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gra cg 9rafb2kruc.1 u;1pvity, but planet B has twice the radius of planet A. If planet A has mass m, what i9u;gk1cbp1urf r 2ac .s the mass of planet B?

  Two planets have the same surface gravity,j. hq22snmin+8bgcy93 qiun kl 4;;ye but planet B has twice the mass of planet A. If pm.n 8qq 2ikybug43lnj 2 h;ye sc9n+;ilanet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (rao65 bhmyle8+ ;nt 9hihdius r) about a spherical planee;+h59 t6bmyoih8hn l t (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orl ogutg6 0:r 6ivqp z+n+wazp.ig.e/:bit. Compare the two satell 6zpzev +.rg+plu:0nto6i qwg/gi:a. ite's speeds.

  A person is standing on a scale in an elozwbmnamd 9gfo lb1cg 4-/68 3evator accelerating downward. Compare the reading on the scale to the person'gm1cnog3a9ofl-m8wdb 4 6 zb /s true weight.

  Who was the first person to realize that the planets kr0ty geye:8t7m -h:),lk k9iclu7xj move in elliptical paths around the Sunkitxjyl -ru9) :e g7elmty87h k,: 0ck?

  The speed of Halley's Comet, while traveling in its elliptulkh abpc.zmk0+c ubu ft pw+ 4)e168:ical orbit around the Sct 1kbapbuf:.0 6kwl+)e8hzp +u cm 4uun,

  Let the average orbital radius of a pldn2. ;l 5amod p/bv(gdanet be R. Let the orbital period be T. What qad(md2 dlgvn. ;/o5pbuantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Androme;wn 91oz e+qghda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be, compared to thg oq9;+nwhe 1ze Earth's orbital period?

  The average distance from the Earth to the Sun 8/wwk1 wmg nkn1))y7qh-zulc is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the ast 18m/q nn)l1zww-wgcuh )yk k7eroid's average distance from the Sun?

State Kepler's laws.y8uhke6;fo+ 3h 6alw4;ur iyr

  List the four fundamental fohub5*nv l0c /1o8vrls rces in nature.

  An object moves with a constant speed of 30 m/s on q jixu9)k;a.y-i 7jrmaelu 0*a circular track of radius 150 m. What is the accem;u7.*a)q r09jauklj- exiyi leration of the object?

  The maximum speed around a level curve is 30.0 kmi9a9gvhx uk(*sr, :igwmwwf xkrn1)9w ( x3:e /h. What is the maximum speed around a curve with twice the radiug9m a:eswxvn3 i:9 1)kkru (i wwf,wx(xr*9ghs? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the9czetlyt 0v.6r8b y ;o perimeter of a bicycle wheel of diamezby e09y8t tl;6.v rocter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 s43h24 cdkzhb m from the axis. What is tc 2kdsh h43b4zhe centripetal acceleration?

  How many revolutions pe) m,u6(rd csxeg)0gv zr minute must a circular, rotating space station of radius 1000 m rotate to produce an artificiac d),s0mvg) rg6x e(uzl gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turn at v nmu im,1:kc4aq c6l596.5 km/h. What is the c5c,un6mvc4ik1:lm q aentripetal force on the motorcycle?

  A 0.50-kg mass is attached t wbs rn drhb390(guy09o the end of a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximum speed of the 30 r hds0gub9rbw( 9ynmass if the string is not to break?

  A stone, of mass m, is attached to a stroyup.+m qo88n bvx*yv 5ng string and whirled in a vertical circle of radius r. At the exact top of the path the tension in the str 8q +5pvn8x yvmyob*u.ing is 3 times the stone's weight. The stone's speed at this point is given by

  A stone, of mass m, is attached to a strong string and whirled in a verticaliywu(j5z00vi-my ;y 8po ym y7 circle of rad 7mwz5mv -yo y(pu y8;iyiyj00ius r. At the exact bottom of the path the tension in the string is 3 times the stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experience ure hz0s+;i)v:iqi m0s an acceleration of 4g when pulling out of the dir0iq;v +im:us0) e hzive. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical looptcn*x hw+i25ie3lz ;l (in which the center of the loop is beneath him) of radius 3200 m. At the top of his loop he is cll 3nhz; 5+ixweit2*pushing down on his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times ricc)0isgq)y 1 8drb(his weight. What is the minimum radi8ig ) c10rcridyb()sq us of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 8.wzq*8tme m jcs-)w(v n5n) wf0-m radius horizontal curve with the tires on the verge of slipping. How fast can this car round a second cu)*5 s -8z t.ejf)vnqmcwn(wmwrve of radius 320 m? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m with acub03jll87*/f xi qj d speed of 20 m/s. The centrib l cu/8iq x*jl3j7df0petal force provided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius 50 m at a spe.vzghw fcj/ ai o:;v.0ed of 14 m/s. What must be the minimum coefficient of friction between fo vcjw.h/ga.i 0:z;vthe tires and the road for the car to make the turn?

  A car is moving with a constant speed v around a level curve. Thvc )qzxh9j )7be coefficient of friction between the tires and the road is 0.40. What i cq)h7 9vx)jbzs the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled toe* z;s1/pbkbs/q q,mu1v :jnx negotiate a 100-m radius turn a:qs j/kusp* 1zb,m 1 nve/qbx;t 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at a s vn tdr(;diz um.e:oer+mk. 5w-h-/a$45^{\circ}$ angle. When a bobsled rounds this curve at the curve's safe speed (no friction needed to stay on the run), what is its centripetal acceleration?

  A frictionless curve of radius 100 m, banked at an angzjl f 6;nr*d4mgvgy2y7 5n6yple of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked ai)jo;/ -t tydm; fpme+ om6yp2t $45^{\circ}$. Suppose that an ice storm hits, and the curve is effectively frictionless. What is the safe speed with which to take the curve without either sliding up or down?

  A 175-kg ball on the k6ya1g+u k. g-rennl0end of a string is revolving uniformly in a horizontal circle of radius 0.g1lray- 0k6+ek ngu. n500
m. The ball makes 2.00 revolutions in a second. (only fill in numerial value in the blanks)
(a) Determine the speed of the ball.    $m/s$
(b) Determine the ball's centripetal acceleration.    $m/s^2$
(c) Determine the force a person must exert on opposite end of the string.    $N$

  Starting from rest in the pit area, a race car accelerates at a uniform rat: zh5s2u gne-h1zbh +me to a speed of 45 m/s in 15 s, moving on a circular gbu:-h+1nhs25z hzme track of radius 500 m. (only fill in numerical value in the blanks)
(a) Calculate the tangential acceleration.    $m/s^2$
(b) Calculate the radial acceleration when the instantaneous speed is equal to 30 m/s.    $m/s^2$

  The hydrogen atom consists gqi6( qg 8wzz7of a proton of mass $1.67 \times 10^{-27} \; kg$ and an orbiting electron of mass $9.11 \times 10^{-31} \; kg$. In one of its orbits, the electron is $5.3 \times 10^{-11} \; m$ from the proton. What is the mutual attractive force between the electron and proton?

  What is the gravitational fo -zntzu+ x+w;lrce on a 70-kg person standing on the Earth, due to the Moon? The;x-l+t +wunzz mass of the Moon is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masses is F.q/ 9jpo o5kqimpwc-4. If the masses are moved to half of their initial distance, what is the gravitational attractivekcq p9pomo5-j4i. qw/ force?

  For a spacecraft goi 6rkdo20lv5qrq 2/qi gng from the Earth toward the Sun, at what distance from the /idro56 qrqgq22kv l 0Earth will the gravitational forces due to the Sun and the Earth cancel?
Earth's mass: Me = $5.98 \times 10^{24} \; kg$ the Sun's mass: Ms = $1.99 \times 10^{30} \; kg$
Earth-Sun distance: r = $1.50 \times 10^{11} \; m$

  The mass of the Moon isj;a wfrfl-b,(uegrw 4o s4;b3 $7.4 \times 10^{22} \; kg$ and its mean radius is $1.75 \times 10^{3} \; km$. What is the acceleration due to gravity at the surface of the Moon?

  An astronaut goes out for a "space-walk" at a distance abovq.ftupxw rp+ukh 0b +b++nj7x.i (9 iee the Earth equal to the radius of the Earth. What is +.i( .xi pp7+bq9f0kxuut+eb+ r hj nwher acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's su*0f wtdtz 9./go op;ekrface will tz90 t*/t ko fewo;pgd.he acceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance abt.m-+jixe9sj4vva (oove its surface equal to 3 times the radius of Mars. The acceleration of gravity of the sajaixejts+v m.(4v9o- tellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acceleration of gravit axityl1 s 4*r9r83a8zmc;zhsy is3x hray*sm c8ris z ;a1zl94t8 $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surface of the Earth. The Earth ;pojnr ooi* w3+3nuw-has radius r. If the object is raised to a height of 3r above the Earth;+n w* 3p-oo3juiw nor's surface, what is its weight?

  By how many newtons does the w5g nxg o8*.b wbc08vzeeight of a 100-kg person change when he goes from sea lev*eo 8gc8 vnzgbw0 5.bxel to an altitude of 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A s1npb ous eh2f kg8(xyh8whfh qq00n3h+5s(+ aatellite of mass 100 kg is at a point 3r above the Earth's surface. What is the satellite's w3n(gyak fh2 hx510hph uefsnqqo(88w++0bsheight?

  A spherically symmetric planet has four times the Earth'sk: r)/uda m(yn mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of this (d:um /)kan yrplanet?

  During a lunar eclipse, the M)bx +q ecw 3 ags*+snf, db*wgyo:zs:/oon, Earth, and Sun all lie on the same line, with the Earth bet,*s/ bww a )fbeodgc3ysqn s*+x+z::gween the Moon and the Sun. The Moon has a mass of $7.36 \times 10^{22} \; kg$; the Earth has a mass of $5.98 \times 10^{24} \; kg$; and the Sun has a mass of $1.99 \times 10^{30} \; kg$. The separation between the Moon and the Earth is given by $3.84 \times 10^{8} \; m$; the separation between the Earth and the Sun is given by $1.496 \times 10^{11} \; m$.
(a) Calculate the force exerted on the Earth by the Moon, its magnitude is    $\times 10^{20} \; N$, its direction is  ----待选择----towardsaway from  the moon.
(b) Calculate the force exerted on the Earth by the Sun, its magnitude is    $\times 10^{22} \; N$, its direction is  ----待选择----towardsaway from  the Sun.
(c) Calculate the net force exerted on the Earth by the Moon and the Sun, its magnitude is    $\times 10^{22} \; N$, its direction is  ----待选择----towardsaway from  the Sun.

  A 2.10-kg brass ball is tfqya2k g3l t5ogn8:tw0/ pj6 eransported to the Moon.
(a) Calculate the acceleration due to gravity on the Moon.    $m/s^2$ (The radius of the Moon is $1.74 \times 10^{6} \; m$ and the mass of the Moon is $7.35 \times 10^{22} \; kg$)
(b) Determine the mass of the brass ball on the Earth    $kg$ and on the Moon    $kg$
(c) Determine the weight of the brass ball on the Earth    $N$
(d) Determine the weight of the brass ball on the Moon    $N$

  A satellite is in a e0j3r aq/-9p8vg a7wd pq6pp plow circular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean radius of the Ea8p -/evadpp0gq 6p j7pw9qar 3rth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbioo2xkg df 4k llr3c)0*t about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The xd f ocr) k4k2llg30*omean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of the Earth. It:b;:nros y0+os9n/v3o g 5bnhndkkn 4 is observed to have a period of 89 min. What is the maos:543o0dn vy ngk9;hnbnnbo+ ks :/rss of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, e w9d n)hy82yv6 inew6has an orbital diameter of $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter o92,fwm8 8upkcwmy* wu rbits the planet with a radius of $422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planet in nearl iu0fu;stb0px-u-e b 1y circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbitft0;bx bpuue u1i- 0s-?

  The planet Jupiter iss7rxk a015zn jvud8f3;7awei $7.78 \times 10^{11} \; m$ from the Sun. How long does it take for Jupiter to orbit once about the Sun? (The distance from the Earth to the Sun is $1.50 \times 10^{11} \; m$.)

  It takes the planet Jupiter 12 years to orbit the Sun once. What is the ave7-6x v: vifdq nzth 1z-5o jkqg+7gg*krage distance from J*7kiq z-q1 hxnk:5zgj6gf- 7dv+o vgtupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)